Definition:Connected (Topology)/Points

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Definition

Let $T = \left({S, \tau}\right)$ be a topological space.

Let $a, b \in S$.


Then $a$ and $b$ are connected (in $T$) if and only if there exists a connected set in $T$ containing both $a$ and $b$.


Also see

  • Results about connected spaces can be found here.


Sources